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Finding the Third Proportional to 376.31 and 882.19

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Solution

The third proportional to 376.31 and 882.19 is: 2,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 882.19 = 882.19 : x
  2. Step 2: Convert to fraction form
    376.31/882.19 = 882.19/x
  3. Step 3: Cross multiply
    376.31x = 882.19 × 882.19
  4. Step 4: Simplify right side
    376.31x = 778,254.79
  5. Step 5: Solve for x
    x = 778,254.79/376.31
  6. Step 6: Final answer
    x = 2,068.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.